Special Right Triangles Answers

Consider the incomplete paragraph proof.Given: Isosceles right triangle XYZ (45°–45°–90° triangle)Prove: In a 45°–45°–90° triangle, the hypotenuse is times the length of each leg.

Triangle P Q R is shown. Angle Q P R is a right angle. The length of Q P is 8 StartRoot 3 EndRoot and the length of P R is 8.

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole.

Each leg of a 45°-45°-90° triangle measures 12 cm.

Consider triangle QRS. The legs each have a length of 10 units.

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.

Consider triangle DEF. The legs have a length of 36 units each.

The hypotenuse of a 45°-45°-90° triangle measures 128 cm.

The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.

Which statements regarding triangle DEF are correct? Select three options.